There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?
There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?
1). 440
2). 220
3). 1220
4). 720
1 answers
We know that there would be 12 vertices in a polygon having 12 sides. And, to form a triangle we need just 3 vertices of the polygon.
Then, required number of triangles would be equal to the number of ways in which 3 vertices can be chosen out of 12 vertices.
∴ Required number of ways = 12C3
= (12!)/{3!×9!} = 220 ways
Hence, the required number of triangles is 220.
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